What is the Greatest Common Factor of 38740 and 38755?

Greatest common factor (GCF) of 38740 and 38755 is 5.

GCF(38740,38755) = 5

We will now calculate the prime factors of 38740 and 38755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38740 and 38755.

How to find the GCF of 38740 and 38755?

We will first find the prime factorization of 38740 and 38755. After we will calculate the factors of 38740 and 38755 and find the biggest common factor number .

Step-1: Prime Factorization of 38740

Prime factors of 38740 are 2, 5, 13, 149. Prime factorization of 38740 in exponential form is:

38740 = 2² × 5¹ × 13¹ × 149¹

Step-2: Prime Factorization of 38755

Prime factors of 38755 are 5, 23, 337. Prime factorization of 38755 in exponential form is:

38755 = 5¹ × 23¹ × 337¹

Step-3: Factors of 38740

List of positive integer factors of 38740 that divides 38740 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 149, 260, 298, 596, 745, 1490, 1937, 2980, 3874, 7748, 9685, 19370

Step-4: Factors of 38755

List of positive integer factors of 38755 that divides 38740 without a remainder.

1, 5, 23, 115, 337, 1685, 7751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38740 and 38755. The biggest common factor number is the GCF number.
So the greatest common factor 38740 and 38755 is 5.

Also check out the Least Common Multiple of 38740 and 38755